What is log_{10}((3x)/(10)) ?

The solution to log_{10}((3x)/(10)) is log_{10}(3)+log_{10}(x)-1

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simplify log_{10}((3x)/(10))

simplify

lo g_{10} (\frac{3 x}{10})

lo g_{10} (3) + lo g_{10} (x) - 1

Solution steps

lo g_{10} (\frac{3 x}{10})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{3 x}{10}) = lo g_{10} (3 x) - lo g_{10} (10)

= lo g_{10} (3 x) - lo g_{10} (10)

lo g_{10} (3 x) = lo g_{10} (3) + lo g_{10} (x)

lo g_{10} (10) = 1

= lo g_{10} (3) + lo g_{10} (x) - 1

3 lo g_{b} (4 x) - (lo g_{b} (5 y) + lo g_{b} (6 z))

lo g_{10} (\frac{15}{x y})

ln (e^{x}) - ln (1 + e^{x})

2 + lo g_{10} (x) + lo g_{10} (y)

lo g_{10} (\frac{z}{x ^{7}})

What is log_{10}((3x)/(10)) ?
The solution to log_{10}((3x)/(10)) is log_{10}(3)+log_{10}(x)-1